AP EAMCET · Maths · Definite Integration
\(\int_{\pi / 11}^{9 \pi / 22} \frac{d x}{1+\sqrt{\tan x}}=\)
- A \(\pi / 4\)
- B \(\pi / 22\)
- C \(\pi / 11\)
- D \(7 \pi / 44\)
Answer & Solution
Correct Answer
(D) \(7 \pi / 44\)
Step-by-step Solution
Detailed explanation
\(I=\int_{\frac{\pi}{11}}^{\frac{9 \pi}{22}} \frac{d x}{1+\sqrt{\tan x}}\) \(I=\int_{\frac{\pi}{11}}^{\frac{9 \pi}{22}} \frac{\sqrt{\cos x}}{\sqrt{\sin x}+\sqrt{\cos x}} d x\)...(i)…
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